An algebra associated with a spin model

DOI10.1023/A:1008644201287zbMath0865.05077OpenAlexW116041611MaRDI QIDQ674782

Nomura, Kazumasa

Publication date: 6 March 1997

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008644201287

zbMATH Keywords

association schemeBose-Mesner algebraspin model

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items

Spin Leonard pairs ⋮ Homogeneity of a distance-regular graph which supports a spin model ⋮ Hamming graphs in Nomura algebras ⋮ Nomura algebras of nonsymmetric Hadamard models ⋮ Symmetric versus non-symmetric spin models for link invariants ⋮ On topological spin models and generalized \(\Delta - Y\) transformations ⋮ Type-II matrices and combinatorial structures ⋮ Leonard pairs, spin models, and distance-regular graphs ⋮ Spin models and strongly hyper-self-dual Bose-Mesner algebras ⋮ Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra ⋮ Type-II matrices in weighted Bose-Mesner algebras of ranks 2 and 3 ⋮ Spin models and Bose-Mesner algebras ⋮ Bose-Mesner algebras related to type II matrices and spin models ⋮ Bose-Mesner algebras attached to invertible Jones pairs ⋮ Symmetric Union Diagrams and Refined Spin Models ⋮ On four-weight spin models and their gauge transformations ⋮ Distance-regular graphs which support a spin model are thin ⋮ Modular invariance property of association schemes, type II codes over finite rings and finite abelian groups and reminiscences of François Jaeger (a survey) ⋮ Combinatorics and topology - François Jaeger's work in knot theory ⋮ A generalization of Jaeger-Nomura's Bose-Mesner algebra associated to type II matrices ⋮ Some formulas for spin models on distance-regular graphs ⋮ Spin models of index 2 and Hadamard models ⋮ Type II matrices and their Bose-Mesner algebras

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• Spin models on bipartite distance-regular graphs
• Spin models on triangle-free connected graphs
• Spin models constructed from Hadamard matrices